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Finding the Third Proportional to 202,355 and 443,388

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Solution

The third proportional to 202,355 and 443,388 is: 971,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355 : 443,388 = 443,388 : x
  2. Step 2: Convert to fraction form
    202,355/443,388 = 443,388/x
  3. Step 3: Cross multiply
    202,355x = 443,388 × 443,388
  4. Step 4: Simplify right side
    202,355x = 196,592,918,544
  5. Step 5: Solve for x
    x = 196,592,918,544/202,355
  6. Step 6: Final answer
    x = 971,524.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.